What Is Mathematics?
This is not a mathematics book, but a book about mathematics, which addresses both student and teacher, with a goal as practical as possible, namely to initiate and smooth the way toward the student's full understanding of the mathematics taught in school.
The customary procedural-formal approach to teaching mathematics has resulted in students' distorted vision of mathematics as a merely formal, instrumental, and calculatory discipline. Without the conceptual base of mathematics, students develop over time a "mathematical anxiety" and abandon any effort to understand mathematics, which becomes their "traditional enemy" in school. This work materializes the results of the inter- and trans-disciplinary research aimed toward the understanding of mathematics, which concluded that the fields with the potential to contribute to mathematics education in this respect, by unifying the procedural and conceptual approaches, are epistemology and philosophy of mathematics and science, as well as fundamentals and history of mathematics. These results argue that students' fear of mathematics can be annulled through a conceptual approach, and a student with a good conceptual understanding will be a better problem solver.
The author has identified those zones and concepts from the above disciplines that can be adapted and processed for familiarizing the student with this type of knowledge, which should accompany the traditional content of school mathematics. The work was organized so as to create for the reader a unificatory image of the complex nature of mathematics, as well as a conceptual perspective ultimately necessary to the holistic understanding of school mathematics. The author talks about mathematics to convince readers that to understand mathematics means first to understand it as a whole, but also as part of a whole.
The nature of mathematics, its primary concepts (like numbers and sets), its structures, language, methods, roles, and applicability, are all presented in their essential content, and the explanation of non-mathematical concepts is done in an accessible language and with many relevant examples.
Discover your next great read at BookLoop, Australiand online bookstore offering a vast selection of titles across various genres and interests. Whether you're curious about what's trending or searching for graphic novels that captivate, thrilling crime and mystery fiction, or exhilarating action and adventure stories, our curated collections have something for every reader. Delve into imaginative fantasy worlds or explore the realms of science fiction that challenge the boundaries of reality. Fans of contemporary narratives will find compelling stories in our contemporary fiction section. Embark on epic journeys with our fantasy and science fiction titles,
Explore our new releases for the most recent additions in romance books, fantasy books, graphic novels, crime and mystery books, science fiction books as well as biographies, cookbooks, self help books, tarot cards, fortunetelling and much more. With titles covering current trends, booktok and bookstagram recommendations, and emerging authors, BookLoop remains your go-to local australian bookstore for buying books online across all book genres.
Stay updated with the literary world by browsing our trending books, featuring the latest bestsellers and critically acclaimed works. Explore titles from popular brands like Minecraft, Pokemon, Star Wars, Bluey, Lonely Planet, ABIA award winners, Peppa Pig, and our specialised collection of ADHD books. At BookLoop, we are committed to providing a diverse and enriching reading experience for all.
Explore BookLoop’s trusted collection of educational books for kids designed to nurture curiosity and early development. Perfect for early learning centres, childcare educators, and parents, our range covers literacy, numeracy, science, and emotional learning. Discover engaging picture books and creative interactive activity books and kits that make learning fun and meaningful for young readers. Families and educators trust BookLoop for quality resources that inspire imagination and confidence from the earliest years.
Help children explore emotional awareness, body confidence, and resilience with our hand-picked range of kids mental health books and body and health books for children. These titles encourage positive discussions about feelings, wellbeing, and growing up, supporting both classroom learning and family reading time.
Encourage curiosity and adventure with nature and animal books for kids, or spark imagination through our kids fantasy books, action and adventure stories, and superhero stories. For readers who love classic tales and heartfelt stories, explore our fairy tales and traditional stories, short stories for kids, and family and home stories that teach kindness and connection. Add fun and learning with our kids hobbies, quizzes and games books — perfect for curious minds and creative play.
BookLoop makes bulk school book orders simple and affordable for schools, libraries, and learning centres. Our range of school books and educational resources supports all stages of the Australian Curriculum, from primary school books to secondary school books. We also supply early childhood education books for teachers and educators seeking curriculum-aligned materials. With competitive pricing, reliable delivery, and expert service, BookLoop is your trusted Australian bookstore for all kids educational books.
At BookLoop, we make it easy to buy school textbooks online in Australia for every stage of learning. Our extensive textbook collection includes curriculum-aligned primary school books, secondary school books, and resources for TAFE courses, vocational training, and university studies. Each title is selected for accuracy, quality, and alignment with the Australian Curriculum, supporting teachers, students, and schools across the country. Whether you’re preparing for exams, classroom learning, or distance education, BookLoop’s range of educational books ensures your students have the right materials to succeed.
Empower your teaching with teacher resources and classroom support materials from BookLoop. Our collection includes lesson planning guides, literacy and numeracy workbooks, STEM education resources, and assessment tools that help educators deliver engaging, effective learning experiences. We also stock a wide selection of preschool and early years education books tailored to early childhood development, classroom management, and student wellbeing. Teachers can access everything from professional development books to interactive classroom activities — all carefully curated to enhance teaching outcomes and student success.
Find educational books for students across a variety of subjects including English, Mathematics, Science, History, Geography, and the Arts. BookLoop partners with trusted Australian publishers to provide up-to-date resources that meet classroom requirements and support independent learning. Whether you’re a school administrator sourcing bulk textbook orders, a parent preparing for the new term, or a teacher updating your classroom library, BookLoop is your one-stop online bookstore for all education and teaching materials.
If you have any questions before making a purchase chat with our online operators to get more information.
or find our Questions & Answers